Relevant equations documented in ‣. Computations performed using Architect.
The following factor influence our choice of pointing accuracy:
Assuming that the orbital altitude is constant at 500 km and our maximum skew angle is 45 degrees, the following table best encapsulates the constraints of pointing accuracy based on ground target error:
Ground Target Error Maximum [m] | Necessary Pointing Accuracy [deg] |
---|---|
50 | 0.0029 |
100 | 0.0057 |
150 | 0.0086 |
200 | 0.0155 |
250 | 0.0144 |
300 | 0.0172 |
350 | 0.0201 |
400 | 0.0229 |
450 | 0.0258 |
500 | 0.0286 |
Alternatively, if we again, hold the orbital altitude constant at 500 km, if we set our maximum ground target error to be 100 m, then we can generate the following table.
Skew Angle [deg] | Necessary Pointing Accuracy [deg] |
---|---|
0 | 0.0115 |
10 | 0.0112 |
20 | 0.0102 |
30 | 0.0086 |
40 | 0.0067 |
45 | 0.0057 |
50 | 0.0047 |
60 | 0.0029 |
70 | 0.00135 |
Thus, if we want to limit the ground target error to 100 m, to essentially have no constraints on the skew angle, we would need a pointing accuracy of 0.00135 degrees. Alternatively, if we are constrained by the pointing accuracy to 0.004, then we should not point at a skew angle of much greater than 50 degrees.